It's not distaste, exactly. There's a certain cycle to things- a balance that needs to be maintained. Rebirth in itself isn't a bad thing, but when something is destroyed, everything is thrown off balance. Equilibrium can be reestablished, of course, but you have to be certain that what it will be is better than what it was before.
Otherwise you've just destroyed a world and made a bigger mess in the process.
[and that, also, can get infinitely more complicated. Aizen's speech was proof of that- he can still remember him, slowly being consumed by the Cross Seal, screaming about how weak Urahara was to bow to the Soul King, because of it being the keystone, because it held together all the worlds. even if Aizen's intentions had been pure, he would have thrown every world into chaos for his demented vision.]
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Otherwise you've just destroyed a world and made a bigger mess in the process.
[and that, also, can get infinitely more complicated. Aizen's speech was proof of that- he can still remember him, slowly being consumed by the Cross Seal, screaming about how weak Urahara was to bow to the Soul King, because of it being the keystone, because it held together all the worlds. even if Aizen's intentions had been pure, he would have thrown every world into chaos for his demented vision.]